1/8 + 2/98 as a fraction

Learn how to find what is 1/8 plus 2/98 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 + 2/98 as a fraction and decimal.

Summary: 1/8 plus 2/98 = 57/392
Since both fractions have unequal denominators, 1/8 plus 2/98 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/8 and fraction 2/98 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 98. 392 is the LCM of 8 and 98. Multiplying the LCM 392 with the numerators and denominators of both fractions (1/8 x 392/392) + (2/98 x 392/392), and simplify further in order to have the common denominator. So the equivalent fraction for 1/8 is 49/392 and for 2/98 is 8/392. By simplifying this fraction addition 49/392 + 8/392, it becomes 57/392.

Pie Chart Representation: 1/8 + 2/98 = 57/392

CALCULATION: 1/8 + 2/98 as a fraction
1/8 + 2/98 = (?)
1/8 + 2/98 = [(1 x 98) + (2 x 8)]/(8 x 98)
= (98 + 16)/784
= 114/784
= (2 x 57)/(2 x 392)
= 57/392
1/8 + 2/98 = 57/392
1/8 plus 2/98 as a fraction is 57/392.

where
1/8 is a proper fraction as an addend,
2/98 is a proper fraction as an addend,
57/392 is the sum of 1/8 and 2/98.

---

1/8 plus 2/98 as a decimal
1/8 + 2/98 = 57/392
57/392 = 0.1454
(1/8) + (2/98) as a decimal is 0.1454

where
0.1454 is the sum of 1/8 and 2/98.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/8 and 2/98 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/8 plus 2/98 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/8) + (2/98) using LCM Method:
What is 1/8 plus 2/98 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/98

What to be found?
(1/8) + (2/98) = ?
Find what's the sum of 1/8 and 2/98.

step 2 Compare the denominators of fractions 1/8 and 2/98 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/8 and 2/98 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 1/8 and 2/98:
The LCM of 8 and 98 is 392.

step 4 Write the fractions 1/8 and 2/98 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/8 + 2/98
= [(1 x 392)/(8 x 392)] + [(2 x 392)/(98 x 392)]

step 5 Simplify the expression to have common denominator:
= 49/392 + 8/392

step 6 Take the common values out and rewrite the above expression like the below:
= 1/392 x (49/1 + 8/1)
= 1/392 x (49 + 8)

step 7Simplify the above expression further:
= 1/392 x 57
= 57/392
1/8 + 2/98 = 57/392

Hence,
1/8 plus 2/98 as a fraction is 57/392.

---

1/8 + 2/98 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/98

What to be found?
(1/8)+(2/98) = ?
Find what's the sum of 1/8 and 2/98.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 98), find the product of numerator of Fraction B and denominator of Fraction A (2 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 98) and rewrite the equation as like the below:
= (1 x 98) + (2 x 8)/(8 x 98)

step 3 Simplify and rewrite the fraction:
= (98 + 16)/784
= 114/784
= 57/392
1/8 + 2/98 = 57/392

Hence,
1/8 plus 2/98 in fraction is 57/392